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Tuesday morning edit

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thought about cycling in, drove in early and did this instead. Snow.
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Robin Clark 2010-11-30 08:52:55 +00:00
parent c0ec5b2a22
commit 0b81f9fbb7
2 changed files with 31 additions and 7 deletions
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6
fmmd_concept/fmmd_concept.tex
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@ -887,10 +887,10 @@ Environmental conditions may affect different components in a {\fg}
in different ways.
For instance a system may be specified for
0 to 85oC operation, but some components
may show failure behaviour between 60 and 85
$0\oc$ to {85\oc} operation, but some components
may show failure behaviour between $60\oc$ and $85\oc$
\footnote{Opto-islolators typically show marked performace decrease after
60oC whereas another common component, the resistor will be unaffected.}.
60oC \cite{tlp181}, whereas another common component, the resistor will be unaffected.}.
Other components may operate comfortably within that whole temperature range specified.
Environmental conditions will have an effect on the {\fg} and the {\dc}
but they will have specific effects on individual components.

32
fmmd_data_model/fmmd_data_model.tex
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@ -150,7 +150,8 @@ We shall begin with the $FG^0$ level functional groups $ FG^0_1, FG^0_2 $ and $
% \label{fig:cfg2fmmd_data}
% \end{figure}
\paragraph{Find Failure Modes}
\pagebreak[4]
\subsection{Find Failure Modes}
Consider the SYSTEM environment with its temperature range of ${{0}\oc}$ to ${{125}\oc}$.
We must check this against all components used.
@ -161,6 +162,7 @@ gives the following failure modes, $fm{K} =\{ K_a, K_b, K_d \}$.
Were our system specified for a ${{0}\oc}$ to ${{80}\oc}$ range
we could say $fm{K} =\{ K_a, K_b \}$.
\pagebreak[3]
\paragraph{Get the failure modes from the functional groups.}
Applying the function $fm$ to our functional groups, with the SYSTEM environmental
constraint applied to component type `K', yields
@ -170,7 +172,7 @@ constraint applied to component type `K', yields
%%$$ FG^0_3 = \{C_5, C_6, K_7\}.$$
$$ fm(FG^0_1) = \{C_{1 a}, C_{1 b}, C_{2 a}, C_{2 b}\},$$
$$ fm(FG^0_2) = \{C_{1 a}, C_{1 b}, C_{2 a}, C_{2 b}, K_{4 a}, K_{4 b}, K_{4 d}\},$$
$$ fm(FG^0_2) = \{C_{1 a}, C_{1 b}, C_{3 a}, C_{3 b}, K_{4 a}, K_{4 b}, K_{4 d}\},$$
$$ fm(FG^0_3) = \{C_{5 a}, C_{5 b}, C_{6 a}, C_{6 b}, K_{7 a}, K_{7 b}, K_{7 d}\}.$$
The next stage is to look at the failure modes from the perspective of
@ -221,13 +223,35 @@ We can represent $ DC^1_1 $ as an addition to the DAG (see figure \ref{fig:dag1}
\centering
\includegraphics[width=300pt,bb=0 0 466 270,keepaspectratio=true]{./fmmd_data_model/dag1.jpg}
% dag0.jpg: 466x270 pixel, 72dpi, 16.44x9.52 cm, bb=0 0 466 270
\caption{DAG reprsenting the failure modes from $FG^0_1$ and $ DC^1_1 $.}
\caption{DAG reprsenting the failure modes from $FG^0_1$ and $ DC^1_0 $.}
\label{fig:dag1}
\end{figure}
UML OBJECT MODEL OF DERIVED COMPONENT TOO
\subsection{ Creating Derived components from $FG^0_2$ and $FG^0_3$ }
Applying the FMMD process for $FG^0_2$ and $FG^0_3$.
\paragraph{Applying FMMD $ \bowtie fm(FG^0_2) $:}
The failure modes $fm(FG^0_2) = \{C_{1 a}, C_{1 b}, C_{3 a}, C_{3 b}, K_{4 a}, K_{4 b}, K_{4 d}\}.$
Let us say new symptom s3 can be caused by failure modes $\{C_{1 a}, C_{3 b}, K_{4 b} \}$
, let us say new symptom s4 can be caused by failure modes $\{C_{1 b}, C_{3 a}, K_{4 d} \}$
and let us say new symptom s5 can be caused by failure mode $\{K_{4 a} \}$.
We can create a derived component $DC^1_2$ using
$\bowtie fm(FG^0_2) = DC^1_2$.
Applying $fm$ to our {\dcs} gives $fm(DC^1_2) = \{ s3,s4,s5 \}$.
\paragraph{Applying FMMD $\bowtie fm(FG^0_3) $ :}
Let us say new symptom s6 can be caused by failure modes $\{C_{5 a}, C_{6 b}, K_{4 b} \}$
, let us say new symptom s7 can be caused by failure modes $\{C_{5 b}, C_{6 a}, K_{7 d} \}$
and let us say new symptom s8 can be caused by failure mode $\{K_{7 a} \}$.
We can create a derived component $DC^1_3$ using
$\bowtie fm(FG^0_3) = DC^1_3$
where $fm(DC^1_3) = \{ s6,s7,s8 \}$.
\pagebreak[4]